Garibaldi is a 7-limit (and higher) temperament of the schismatic family. It is an extension of helmholtz temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a marvel temperament.

Spectrum of Garibaldi Tunings by Eigenmonzos

Eigenmonzo	Fifth
16/15	701.676
69\118	701.695
5/4	701.711
[0 -10 17>	701.728 (5 limit least squares)
6/5	701.738 (5 limit minimax)
100\171	701.754
10/9	701.760
31\53	701.887
15/13	701.9355
13/10	701.9362
4/3	701.955
16/13	702.026
13/12	702.030
18/13	702.034
86\147	702.041
11/10	702.097
15/11	702.102
14/13	702.109 (13 and 15 limit minimax)
[0 -95 -137 -129 167 143>	702.112 (15 limit least squares)
[0 -27 7 17>	702.114 (9 limit least squares)
55\94	702.12766
[0 -38 -80 -122 137 116>	702.12770 (13 limit least squares)
[0 -25 11 35>	702.140 (7 limit least squares)
[0 17 -52 -88 134>	702.183 (11 limit least squares)
9/7	702.193 (9 and 11 limit minimax)
7/6	702.209 (7 limit minimax)
79\135	702.222
8/7	702.227
14/11	702.230
11/8	702.231
12/11	702.244
11/9	702.258
24\41	702.439
15/14	702.778
7/5	702.915
17\29	703.448
13/11	703.597